1728. Cat and Mouse II
Description
A game is played by a cat and a mouse named Cat and Mouse.
The environment is represented by a grid
of size rows x cols
, where each element is a wall, floor, player (Cat, Mouse), or food.
- Players are represented by the characters
'C'
(Cat),'M'
(Mouse). - Floors are represented by the character
'.'
and can be walked on. - Walls are represented by the character
'#'
and cannot be walked on. - Food is represented by the character
'F'
and can be walked on. - There is only one of each character
'C'
,'M'
, and'F'
ingrid
.
Mouse and Cat play according to the following rules:
- Mouse moves first, then they take turns to move.
- During each turn, Cat and Mouse can jump in one of the four directions (left, right, up, down). They cannot jump over the wall nor outside of the
grid
. catJump, mouseJump
are the maximum lengths Cat and Mouse can jump at a time, respectively. Cat and Mouse can jump less than the maximum length.- Staying in the same position is allowed.
- Mouse can jump over Cat.
The game can end in 4 ways:
- If Cat occupies the same position as Mouse, Cat wins.
- If Cat reaches the food first, Cat wins.
- If Mouse reaches the food first, Mouse wins.
- If Mouse cannot get to the food within 1000 turns, Cat wins.
Given a rows x cols
matrix grid
and two integers catJump
and mouseJump
, return true
if Mouse can win the game if both Cat and Mouse play optimally, otherwise return false
.
Example 1:
Input: grid = ["####F","#C...","M...."], catJump = 1, mouseJump = 2 Output: true Explanation: Cat cannot catch Mouse on its turn nor can it get the food before Mouse.
Example 2:
Input: grid = ["M.C...F"], catJump = 1, mouseJump = 4 Output: true
Example 3:
Input: grid = ["M.C...F"], catJump = 1, mouseJump = 3 Output: false
Constraints:
rows == grid.length
cols = grid[i].length
1 <= rows, cols <= 8
grid[i][j]
consist only of characters'C'
,'M'
,'F'
,'.'
, and'#'
.- There is only one of each character
'C'
,'M'
, and'F'
ingrid
. 1 <= catJump, mouseJump <= 8
Solutions
Solution 1
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